M. Godoy

activity

20182022

most citedDerivations and homomorphisms in commutator-simple algebras

2 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2022★ 2 cited

Derivations and homomorphisms in commutator-simple algebras

J. Alaminos, M. Brešar, J. Extremera +2

We call an algebra $A$ commutator-simple if $[A, A]$ does not contain nonzero ideals of $A$ . After providing several examples, we show that in these algebras derivations are determi…

math.FA2021

Maps preserving two-sided zero products on Banach algebras

M. Brešar, M. L. C. Godoy, A. R. Villena

Let $A$ and $B$ be Banach algebras with bounded approximate identities and let $Φ : A \to B$ be a surjective continuous linear map which preserves two-sided zero products (i.e., $Φ(a)…

math.RA2021

Weighted Jordan homomorphisms

Matej Brešar, Maria Luisa C. Godoy

Let $A$ and $B$ be unital rings. An additive map $T : A \to B$ is called a weighted Jordan homomorphism if $c = T (1)$ is an invertible central element and $c T (x^{2}) = T (x)^{2}$ for all $x\…

math.FA2021

Strongly zero product determined Banach algebras

J. Alaminos, J. Extremera, M. L. C. Godoy +1

$C^{*}$ -algebras, group algebras, and the algebra $A (X)$ of approximable operators on a Banach space $X$ having the bounded approximation property are known to be zero prod…

math.OA2020

Hyperreflexivity of the space of module homomorphisms between non-commutative $L^{p}$ -spaces

J. Alaminos, J. Extremera, M. L. C. Godoy +1

Let $M$ be a von Neumann algebra, and let $0 < p, q \leq \infty$ . Then the space $\Hom_\mathcal{M}(L^p(\mathcal{M}),L^q(\mathcal{M}))$ of all right $M$ -module homomor…

math.FA2018

Orthogonally additive polynomials on convolution algebras associated with a compact group

J. Alaminos, J. Extremera, M. L. C. Godoy +1

Let $G$ be a compact group, let $X$ be a Banach space, and let $P : L^{1} (G) \to X$ be an orthogonally additive, continuous $n$ -homogeneous polynomial. Then we show that there exi…

math.FA2018★ 2 cited

Orthogonally additive polynomials on the algebras of approximable operators

J. Alaminos, M. L. C. Godoy, A. R. Villena

Let $X$ and $Y$ be Banach spaces, let $A (X)$ stands for the algebra of approximable operators on $X$ , and let $P : A (X) \to Y$ be an orthogonally additive, co…

Derivations and homomorphisms in commutator-simple algebras

Maps preserving two-sided zero products on Banach algebras

Weighted Jordan homomorphisms

Strongly zero product determined Banach algebras

Hyperreflexivity of the space of module homomorphisms between non-commutative Lp-spaces

Orthogonally additive polynomials on convolution algebras associated with a compact group

Orthogonally additive polynomials on the algebras of approximable operators

Hyperreflexivity of the space of module homomorphisms between non-commutative $L^{p}$ -spaces